30144480 has 48 divisors (see below), whose sum is σ = 94956624. Its totient is φ = 8038400.

The previous prime is 30144449. The next prime is 30144487. The reversal of 30144480 is 8444103.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30144480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30144487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30921 + ... + 31880.

It is an arithmetic number, because the mean of its divisors is an integer number (1978263).

Almost surely, 2^30144480 is an apocalyptic number.

30144480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30144480 is an abundant number, since it is smaller than the sum of its proper divisors (64812144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30144480 is a wasteful number, since it uses less digits than its factorization.

30144480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62819 (or 62811 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 30144480 is about 5490.3988926124. The cubic root of 30144480 is about 311.2212663593.

Adding to 30144480 its reverse (8444103), we get a palindrome (38588583).

The spelling of 30144480 in words is "thirty million, one hundred forty-four thousand, four hundred eighty".